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• W2979587673 abstract "In this article, we consider an inverse problem to determine an unknown source term in a space-time-fractional diffusion equation. The inverse problems are often ill-posed. By an example, we show that this problem is NOT well-posed in the Hadamard sense, i.e., this problem does not satisfy the last condition-the solution’s behavior changes continuously with the input data. It leads to having a regularization model for this problem. We use the Tikhonov method to solve the problem. In the theoretical results, we also propose a priori and a posteriori parameter choice rules and analyze them." @default.
• W2979587673 created "2019-10-18" @default.
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• W2979587673 date "2019-10-10" @default.
• W2979587673 modified "2023-10-18" @default.
• W2979587673 title "Identification of Source Term for the Time-Fractional Diffusion-Wave Equation by Fractional Tikhonov Method" @default.
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• W2979587673 doi "https://doi.org/10.3390/math7100934" @default.
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